The daily water usage from a tap was measured. The usage in liters. Class 7
hardThe daily water usage from a tap was measured. The usage in liters. Class 7
Question 1.
The daily water usage from a tap was measured. The usage in liters for the first few days are: 5.6, 8, 3.09, 12.9, 6.5, 12.1, 11.3, 20.5, 7.4. Class 7
(a) Can the mean or median daily usage lie between 25 and 30? Justify your claim using the meaning of mean and median.
Solution:
No. Because mean or median always lies between the minimum and maximum values of the data, which are here respectively 5.6 and 20.5.
(b) Can the mean or median be lesser than the minimum value or greater than the maximum value in a data?
Solution:
No.
Question 2.
The weights of a few newborn babies are given in kgs. Fill the dot plot provided below. Analyse and compare this data. Class 7
| Boys | 3.5 | 4.1 | 2.6 | 3.2 | 3.4 | 3.8 |
| Girls | 4.0 | 3.1 | 3.4 | 3.7 | 2.5 | 3.4 |
Solution:
Data:
Boys:
Girls:
Whole Class:
Mean = [latex]\frac {40.7}{12}[/latex]
= 3.4 kg.
Median = 3.4 kg.
Boys:
Mean = 3.42 kg
Median = 3.45 kg
Girls:
Mean = 3.3 kg
Median = 3.4 kg
On analysing the above data, it appears that mean and median for the whole class, boys and girls is nearly the same, namely 3.4 kg.